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Simplifying 5 + 3(d + -4) = 2(d + 1) Reorder the terms: 5 + 3(-4 + d) = 2(d + 1) 5 + (-4 * 3 + d * 3) = 2(d + 1) 5 + (-12 + 3d) = 2(d + 1) Combine like terms: 5 + -12 = -7 -7 + 3d = 2(d + 1) Reorder the terms: -7 + 3d = 2(1 + d) -7 + 3d = (1 * 2 + d * 2) -7 + 3d = (2 + 2d) Solving -7 + 3d = 2 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -7 + 3d + -2d = 2 + 2d + -2d Combine like terms: 3d + -2d = 1d -7 + 1d = 2 + 2d + -2d Combine like terms: 2d + -2d = 0 -7 + 1d = 2 + 0 -7 + 1d = 2 Add '7' to each side of the equation. -7 + 7 + 1d = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 1d = 2 + 7 1d = 2 + 7 Combine like terms: 2 + 7 = 9 1d = 9 Divide each side by '1'. d = 9 Simplifying d = 9
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